Fruits Basket(1998)

Fruits Basket

After a family tragedy turns her life upside down, plucky high schooler Tohru Honda takes matters into her own hands and moves out...into a tent! Unfortunately for her, she pitches her new home on private land belonging to the mysterious Sohma clan, and it isn't long before the owners discover her secret. But, as Tohru quickly finds out when the family offers to take her in, the Sohmas have a secret of their own--when touched by the opposite sex, they turn into the animals of the Chinese Zodiac!

(Source: Yen Press)

Note: Volume 9 includes the bonus chapter "Rain Shelter of Terror".